GCD of 708, 156, 198, 318 Calculator

Given Input numbers are 708, 156, 198, 318

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 708, 156, 198, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 156, 198, 318 is 6.

Therefore, GCD of numbers 708, 156, 198, 318 is 6

Given Input Data is 708, 156, 198, 318

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 318 is 2 x 3 x 53

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(708, 156) = 9204

GCD(708, 156) = ( 708 x 156 ) / 9204

GCD(708, 156) = 110448 / 9204

GCD(708, 156) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 198

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 198) = 396

GCD(12, 198) = ( 12 x 198 ) / 396

GCD(12, 198) = 2376 / 396

GCD(12, 198) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 318

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 318) = 318

GCD(6, 318) = ( 6 x 318 ) / 318

GCD(6, 318) = 1908 / 318

GCD(6, 318) = 6

GCD of 708, 156, 198, 318 is 6

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1. What is the GCD of 708, 156, 198, 318?

GCD of 708, 156, 198, 318 is 6

2. Where do I get the detailed procedure to find GCD of 708, 156, 198, 318?

You can find a detailed procedure to find GCD of 708, 156, 198, 318 on our page.

3. How to find GCD of 708, 156, 198, 318 on a calculator?

You can find the GCD of 708, 156, 198, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.